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Finding the Third Proportional to 84,960 and 134,970.75

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Solution

The third proportional to 84,960 and 134,970.75 is: 214,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,960 : 134,970.75 = 134,970.75 : x
  2. Step 2: Convert to fraction form
    84,960/134,970.75 = 134,970.75/x
  3. Step 3: Cross multiply
    84,960x = 134,970.75 × 134,970.75
  4. Step 4: Simplify right side
    84,960x = 18,217,103,355.56
  5. Step 5: Solve for x
    x = 18,217,103,355.56/84,960
  6. Step 6: Final answer
    x = 214,419.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.